Question

    18 men can do a task in 25 days, and 54 women can complete

    the same task in 20 days. How many days will it take for 1 man and 1 woman to finish the task?
    A 250 days Correct Answer Incorrect Answer
    B 150 days Correct Answer Incorrect Answer
    C 100 days Correct Answer Incorrect Answer
    D 125 days Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the efficiency of a man and a woman be 'M' and 'W' units/day, respectively.

    So, 18 × 25 × M = 54 × 20 × W

    Or, M : W = 450 : 360 = 5 : 4

    Let M = 5e and W = 4e

    Let the required time be T days.

    So, (5e + 4e) × T = 18 × 25 × 5e

    Or, 9T = 2250

    Or, T = 2250 ÷ 9 = 250 days

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